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Finding the Fourth Proportional to 595.15, 821.71 and 371.17

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Solution

The fourth proportional to 595.15, 821.71 and 371.17 is: 512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.15 : 821.71 = 371.17 : x
  2. Step 2: Convert to fraction form
    595.15/821.71 = 371.17/x
  3. Step 3: Cross multiply
    595.15x = 821.71 × 371.17
  4. Step 4: Simplify right side
    595.15x = 304,992.24
  5. Step 5: Solve for x
    x = 304,992.24/595.15
  6. Step 6: Final answer
    x = 512.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.